SOLUTION: please help Find the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 5 squar 6

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Question 1080017: please help
Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.
Given = 5 squar 6
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the leg of an isosceles right triangle are same length: leg a is equal to
leg b, a=b
if the hypotenuse is h+=+5sqrt%28+6%29, using Pythagorean theorem we have

h%5E2=a%5E2%2Bb%5E2........since a=b and h+=+5sqrt%28+6%29, we have

5sqrt%28+6%29=a%5E2%2Ba%5E2

5sqrt%28+6%29=2a%5E2

5sqrt%28+6%29%2F2=a%5E2

sqrt%285sqrt%28+6%29%2F2%29=a

a=%281%2F2%29%2Aroot%284%2C6%29%2Asqrt%2810%29

approximately:
a=2.48 and b=2.48

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.
Given = 5 squar 6
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Each leg = hyp/sqrt(2)